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121,248

121,248 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

121,248 (one hundred twenty-one thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 421. Its proper divisors sum to 224,370, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D9A0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
128
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
842,121
Square (n²)
14,701,077,504
Cube (n³)
1,782,476,245,204,992
Divisor count
36
σ(n) — sum of divisors
345,618
φ(n) — Euler's totient
40,320
Sum of prime factors
437

Primality

Prime factorization: 2 5 × 3 2 × 421

Nearest primes: 121,229 (−19) · 121,259 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 · 288 · 421 · 842 · 1263 · 1684 · 2526 · 3368 · 3789 · 5052 · 6736 · 7578 · 10104 · 13472 · 15156 · 20208 · 30312 · 40416 · 60624 (half) · 121248
Aliquot sum (sum of proper divisors): 224,370
Factor pairs (a × b = 121,248)
1 × 121248
2 × 60624
3 × 40416
4 × 30312
6 × 20208
8 × 15156
9 × 13472
12 × 10104
16 × 7578
18 × 6736
24 × 5052
32 × 3789
36 × 3368
48 × 2526
72 × 1684
96 × 1263
144 × 842
288 × 421
First multiples
121,248 · 242,496 (double) · 363,744 · 484,992 · 606,240 · 727,488 · 848,736 · 969,984 · 1,091,232 · 1,212,480

Sums & aliquot sequence

As a sum of two squares: 12² + 348²
As consecutive integers: 40,415 + 40,416 + 40,417 13,468 + 13,469 + … + 13,476 1,863 + 1,864 + … + 1,926 536 + 537 + … + 727
Aliquot sequence: 121,248 224,370 381,114 472,518 551,310 941,682 1,249,854 1,249,866 1,576,854 1,927,386 2,248,656 3,643,824 5,769,512 6,672,088 6,269,912 6,555,088 6,145,426 — unresolved within range

Continued fraction of √n

√121,248 = [348; (4, 1, 5, 19, 5, 1, 4, 696)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand two hundred forty-eight
Ordinal
121248th
Binary
11101100110100000
Octal
354640
Hexadecimal
0x1D9A0
Base64
Admg
One's complement
4,294,846,047 (32-bit)
Scientific notation
1.21248 × 10⁵
As a duration
121,248 s = 1 day, 9 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 20011022200
quaternary (4) 131212200
quinary (5) 12334443
senary (6) 2333200
septenary (7) 1013331
nonary (9) 204280
undecimal (11) 83106
duodecimal (12) 5a200
tridecimal (13) 4325a
tetradecimal (14) 32288
pentadecimal (15) 25dd3

As an angle

121,248° = 336 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκασμηʹ
Mayan (base 20)
𝋯·𝋣·𝋢·𝋨
Chinese
一十二萬一千二百四十八
Chinese (financial)
壹拾貳萬壹仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٢١٢٤٨ Devanagari १२१२४८ Bengali ১২১২৪৮ Tamil ௧௨௧௨௪௮ Thai ๑๒๑๒๔๘ Tibetan ༡༢༡༢༤༨ Khmer ១២១២៤៨ Lao ໑໒໑໒໔໘ Burmese ၁၂၁၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121248, here are decompositions:

  • 19 + 121229 = 121248
  • 59 + 121189 = 121248
  • 67 + 121181 = 121248
  • 79 + 121169 = 121248
  • 97 + 121151 = 121248
  • 109 + 121139 = 121248
  • 167 + 121081 = 121248
  • 181 + 121067 = 121248

Showing the first eight; more decompositions exist.

Unicode codepoint
𝦠
Signwriting Movement-Wallplane Curved Cross Small
U+1D9A0
Other symbol (So)

UTF-8 encoding: F0 9D A6 A0 (4 bytes).

Hex color
#01D9A0
RGB(1, 217, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.160.

Address
0.1.217.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 121,248 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.